- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-10-19 10:24:37+13:00
- Desc:
- Add readme to link the documentation on overleaf.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/701/rawfile/6741283829975cd4f084159e7734dcbece29f7b1/Components/INSK.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="INSK" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="../cellLib/Components/units.cellml">
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="pA" units_ref="pA"/>
<units name="nS" units_ref="nS"/>
<units name="mV" units_ref="mV"/>
<units name="mM" units_ref="mM"/>
<units name="nS_per_pF" units_ref="nS_per_pF"/>
<units name="uJ_per_K_mmol" units_ref="uJ_per_K_mmol"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="pF" units_ref="pF"/>
</import>
<import xlink:href="../cellLib/Components/Ionic_currents.cellml">
<component component_ref="Ionic_currents" name="I_NSK_pA"/>
</import>
<import xlink:href="../cellLib/Components/Nernst_potential.cellml">
<component component_ref="Nernst_potential" name="E_NS"/>
</import>
<import xlink:href="../cellLib/Components/Hillfcn.cellml">
<component component_ref="Hillfcn" name="H_Mg"/>
</import>
<import xlink:href="g_Xo.cellml">
<component component_ref="g_Xo" name="g_Ko"/>
</import>
<component name="INSK">
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="g_NS" private_interface="out" public_interface="in" units="nS_per_pF"/>
<variable name="C_est" private_interface="out" public_interface="in" units="pF"/>
<variable name="R" private_interface="out" public_interface="in" units="uJ_per_K_mmol"/>
<variable name="F" private_interface="out" public_interface="in" units="C_per_mol"/>
<variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
<variable name="PCa_PCs" public_interface="in" units="dimensionless"/>
<variable name="PNa_PCs" public_interface="in" units="dimensionless"/>
<variable name="PK_PCs" public_interface="in" units="dimensionless"/>
<variable name="Nao" private_interface="out" public_interface="in" units="mM"/>
<variable name="Nai" public_interface="in" units="mM"/>
<variable name="Cao" private_interface="out" public_interface="in" units="mM"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="Ko" private_interface="out" public_interface="in" units="mM"/>
<variable name="Ki" public_interface="in" units="mM"/>
<variable name="X_o" private_interface="out" units="mM"/>
<variable name="X_i" private_interface="out" units="mM"/>
<variable name="Mgo" private_interface="out" public_interface="in" units="mM"/>
<variable name="K_dMg" public_interface="in" units="mM"/>
<variable name="f_Mg" units="dimensionless"/>
<variable name="H_Mg" private_interface="in" units="dimensionless"/>
<variable name="x_h" private_interface="out" units="dimensionless"/>
<variable initial_value="1.3" name="n_h" private_interface="out" units="dimensionless"/>
<variable name="g_Ko" private_interface="in" units="dimensionless"/>
<variable initial_value="0.0123" name="g_s" private_interface="out" units="dimensionless"/>
<variable initial_value="1" name="z_NS" private_interface="out" units="dimensionless"/>
<variable name="P_NSK" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="I_NSK" private_interface="in" public_interface="out" units="pA_per_pF"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>P_NSK</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1.19</cn>
<ci>f_Mg</ci>
<ci>g_Ko</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_h</ci>
<apply>
<divide/>
<ci>Mgo</ci>
<ci>K_dMg</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_Mg</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">0.1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.9</cn>
<ci>H_Mg</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>X_o</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>PNa_PCs</ci>
<ci>Nao</ci>
</apply>
<apply>
<times/>
<ci>PK_PCs</ci>
<ci>Ko</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>PCa_PCs</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>Cao</ci>
<ci>Cao</ci>
</apply>
<cn cellml:units="mM">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>X_i</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>PNa_PCs</ci>
<ci>Nai</ci>
</apply>
<apply>
<times/>
<ci>PK_PCs</ci>
<ci>Ki</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>PCa_PCs</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>Cai</ci>
<ci>Cai</ci>
</apply>
<cn cellml:units="mM">1</cn>
</apply>
</apply>
</apply>
</math>
<!-- X_o = PNa_PCs*Nao+PK_PCs*Ko+4{dimensionless}*PCa_PCs/(1{dimensionless}+exp(V*F/(R*T)))*Cao;
X_i = PNa_PCs*Nai+PK_PCs*Ki+4{dimensionless}*PCa_PCs/(1{dimensionless}+exp(V*F/(R*T)))*Cai;-->
</component>
<connection>
<map_components component_1="INSK" component_2="H_Mg"/>
<map_variables variable_1="x_h" variable_2="x"/>
<map_variables variable_1="n_h" variable_2="n"/>
<map_variables variable_1="H_Mg" variable_2="H"/>
</connection>
<component name="convert_I_NSK_pA">
<variable name="I_NSK" public_interface="out" units="pA_per_pF"/>
<variable name="g_NS_ns" public_interface="out" units="nS"/>
<variable name="I_NSK_pA" public_interface="in" units="pA"/>
<variable name="g_NS" public_interface="in" units="nS_per_pF"/>
<variable name="C_est" public_interface="in" units="pF"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_NS_ns</ci>
<apply>
<times/>
<ci>g_NS</ci>
<ci>C_est</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_NSK</ci>
<apply>
<divide/>
<ci>I_NSK_pA</ci>
<ci>C_est</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="INSK">
<component_ref component="I_NSK_pA"/>
<component_ref component="convert_I_NSK_pA"/>
<component_ref component="E_NS"/>
<component_ref component="H_Mg"/>
<component_ref component="g_Ko"/>
</component_ref>
</group>
<connection>
<map_components component_1="INSK" component_2="I_NSK_pA"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="P_NSK" variable_2="PO"/>
</connection>
<connection>
<map_components component_1="INSK" component_2="g_Ko"/>
<map_variables variable_1="g_s" variable_2="g_s"/>
<map_variables variable_1="Ko" variable_2="X_o"/>
<map_variables variable_1="g_Ko" variable_2="g_Xo"/>
</connection>
<connection>
<map_components component_1="INSK" component_2="E_NS"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_NS" variable_2="z"/>
<map_variables variable_1="X_i" variable_2="X_i"/>
<map_variables variable_1="X_o" variable_2="X_o"/>
</connection>
<connection>
<map_components component_1="E_NS" component_2="I_NSK_pA"/>
<map_variables variable_1="E" variable_2="E"/>
</connection>
<connection>
<map_components component_1="convert_I_NSK_pA" component_2="I_NSK_pA"/>
<map_variables variable_1="I_NSK_pA" variable_2="I"/>
<map_variables variable_1="g_NS_ns" variable_2="g_max"/>
</connection>
<connection>
<map_components component_1="INSK" component_2="convert_I_NSK_pA"/>
<map_variables variable_1="I_NSK" variable_2="I_NSK"/>
<map_variables variable_1="g_NS" variable_2="g_NS"/>
<map_variables variable_1="C_est" variable_2="C_est"/>
</connection>
</model>
